My horn doesn't chirp when I lock the doors.

I don't know about turning the alarm system off completely, but if you are trying to get it to stop chirping the horn and flashing the lights when locking/unlocking the doors, I found the following in the Ram 3500 Owner's Manual:

To lock the doors: Press and release the LOCK button on the transmitter to lock all doors. If the ignition is OFF, when the doors are locked, the parking lights will flash on once and the horn will chirp once.

The horn chirp feature will be shipped from the assembly plants activated. If desired this feature can be disabled by using the following procedure:
1. Perform this operation while standing outside the vehicle.
2. Press and hold the LOCK button on a programmed (i.e. functional) key fob.
3. Continue to hold the LOCK button, wait at least 4 seconds, but no longer than 10 seconds, then press and hold the PANIC button. Release both buttons at the same time.
4. To reactivate this feature, repeat the above steps.

Vehicles will be shipped from the assembly plants with the park lamp flash feature activated. If desired, this feature can be disabled by using the following procedure:
1. Perform this operation while standing outside the vehicle.
2. Press and hold the UNLOCK button on a programmed (i.e. functional) key fob.
3. Continue to hold the UNLOCK button, wait at least 4 seconds, but no longer than 10 seconds, then press and hold the LOCK button. Release both buttons at the same time.
4. To reactivate this feature, repeat the above steps.

Check to see if your vehicle honks when you press the "lock" button on your key fob. Press the "lock" button multiple times in a row. Many devices won't beep unless you double-tap the button after locking. If the horn doesn't honk, but the lights flash, your chirp feature is probably disabled.

Use your keyless fob and ignition key to enable the audible chirp. The process varies considerably on different makes and models. You must usually consult your owner's manual, a dealership or the alarm manufacturer for the correct process.

replace the horn itself located in front of the radiator, that took care of my ame problem 7 years ago

Sounds like you have a bad door lock actuator or one of the lock rods has come loose and is in a bind. Can you hear any noise from the door lock actuator in that door when you operate the power door locks? If not, you probably need to replace the actuator. The hardest part will be getting the door panel off without damage. Once the door panel is off, it should be fairly easy to replace the lock actuator even if it comes with the entire latch assembly.

Sounds like you may have a key fob that needs new battery or batteries, or it has a stuck button on the key fob, if you model doesn't have keyless entry, the you have an electrical short in your system and I would have it serviced soon. Thanks Rick.

To turn off the auto locks 1 turn the key on 2 press the unlock button 3 times, 3 turn the key from on to off, 4 press the unlock button 3 times, 5 turn the key back to on and the horn will chirp, 6 press the unlock button, then the lock button. the horn will chirp once if the auto locks are deactivated, or twice one short and one long chirp if activated. 7 turn the key off and the horn will chirp once to confirm exiting the system

That's normal, the slight chirp tells you the doors are locked.

there are two seperate horns